58328201 has 2 divisors, whose sum is σ = 58328202. Its totient is φ = 58328200.

The previous prime is 58328183. The next prime is 58328209. The reversal of 58328201 is 10282385.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53640976 + 4687225 = 7324^2 + 2165^2 .

It is a cyclic number.

It is not a de Polignac number, because 58328201 - 2¹⁰ = 58327177 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (58328209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 29164100 + 29164101.

It is an arithmetic number, because the mean of its divisors is an integer number (29164101).

Almost surely, 2^58328201 is an apocalyptic number.

58328201 is the 3416-th centered decagonal number.

It is an amenable number.

58328201 is a deficient number, since it is larger than the sum of its proper divisors (1).

58328201 is an equidigital number, since it uses as much as digits as its factorization.

58328201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 58328201 is about 7637.2901607835. The cubic root of 58328201 is about 387.8164208423.

The spelling of 58328201 in words is "fifty-eight million, three hundred twenty-eight thousand, two hundred one".